Question

Find sin() and cos(), tan() and cot(), and sec() and csc(). webassign plot (a) sin() and cos() (b) tan() and cot() (c) sec() and

Answer 1

The values of the trigonometry functions are sin(α) = 4/7, cos(β) = 4/7, tan(α) = 4/√33, cot(β) = 4/√33, sec(α) = 7/√33 and sec(β) = 7/√4

How to evaluate the trigonometry functions?

The figure that completes the question is added as an attachment

From the figure, we have the third side of the triangle to be

Third = √(7^2 - 4^2)

Evaluate

Third = √33

The sin(α) is calculated as:

sin(α) = Opposite/Hypotenuse

This gives

sin(α) = 4/7

The cos(β) is calculated as:

cos(β) = Adjacent/Hypotenuse

This gives

cos(β) = 4/7

The tan(α) is calculated as:

tan(α) = Opposite/Adjacent

This gives

tan(α) = 4/√33

The cot(β) is calculated as:

cot(β) = Adjacent/Opposite

This gives

cot(β) = 4/√33

The sec(α) is calculated as:

sec(α) =  Hypotenuse/Adjacent

This gives

sec(α) = 7/√33

The csc(β) is calculated as:

sec(β) = Hypotenuse/Opposite

This gives

sec(β) = 7/√4

Hence, the values of the trigonometry functions are sin(α) = 4/7, cos(β) = 4/7, tan(α) = 4/√33, cot(β) = 4/√33, sec(α) = 7/√33 and sec(β) = 7/√4

Read more about trigonometry functions at

brainly.com/question/24349828

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